Difference Between d3x and triple Integral

[Moayd Shagaf]

So My Question Is Simple, But It confuse me too much!
What Is Difference between the notation ∫d3x and ∫∫∫dxdydz ?

 

[Dr Transport]

nothing...

 

[Mark44]

What Is Difference between the notation ∫d3x and ∫∫∫dxdydz ?

Have you seen the first form somewhere? The more usual form for a triple integral like this would be ##\int_D dV##, where D is some three-dimensional region. As an iterated integral, it might be written in a form such as ##\int_e^f~\int_c^d~\int_a^b dx~dy~dz##.

 

[jasonRF]

nothing...

I completely agree.
##\int\, d^3x = \int \int \int \, dx_1 \, dx_2 \, dx_3##
Likewise, an N dimensional integral can be denoted ##\int \, d^Nx##.

I often use this notation myself to remind me how many dimensions I am working in. I picked up the habit from my graduate advisor who used this notation exclusively as far as I can recall.

jason